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f(x)= 42+ kx +p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value of k and of p. (ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax² +bx+c), where a, b and c are integers to be found. (iii) Hence show that f(x) = 0 has only one solution and state this solution. 2 (i) Given that VEN

f(x)= 42+ kx +p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value of k and of p. (ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax² +bx+c), where a, b and c are integers to be found. (iii) Hence show that f(x) = 0 has only one solution and state this solution. 2 (i) Given that VEN

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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page 28 PAPER 1 J2016 5. FACTORS OF POLYNOMIALS 2 (i) Given that f(x)= 42 +kx+p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value of k and of p. (ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax²+bx+c), where a, b and c are integers to be found. (iii) Hence show that f(x) = 0 has only one solution and state this solution. CS CamScanner로 스캔하기 S VENT
Transcribed Image Text:page 28 PAPER 1 J2016 5. FACTORS OF POLYNOMIALS 2 (i) Given that f(x)= 42 +kx+p is exactly divisible by x+2 and f'(x) is exactly divisible by 2x-1, find the value of k and of p. (ii) Using the values of k and p found in part (i), show that f(x) = (x+2)(ax²+bx+c), where a, b and c are integers to be found. (iii) Hence show that f(x) = 0 has only one solution and state this solution. CS CamScanner로 스캔하기 S VENT
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